Home
Class 12
MATHS
Let the p,m f. of r.v X be d p(x)+((4...

Let the p,m f. of r.v X be d `p(x)+((4) ,(x))(5/9)^x(4/9)^(4-x)` , x= 0,1,2,3,4. . Find E(X) and Var(X)

Text Solution

Verified by Experts

The, p.m of r.v x is
`p(x)=((4),(x))(5/9)^x(4/9)^(4-x), x=0 , 1,2,3,4 `
Comparing this with `p(x)=""^nC_xp^xq^(n-x)` we get
n= 4 `p=5/9` and ` q = 4/9`
` therefore E(x) = np=4(5/9)=20/9 = 2.22 `
and Var (x) = npq `= 4 xx 5/9 xx 4/9 = 80/81 = 0.9876`
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL DISTRIBUTION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Examples for practice|16 Videos

  • BINOMIAL DISTRIBUTION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|8 Videos

  • APPLICATIONS OF DERIVATIVES

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|12 Videos

  • CONTINUITY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|6 Videos

Similar Questions

Explore conceptually related problems

Let the p.m.f. ( probability mass function ) of random variable x be P(x) = (4/x)(5/9)^(x)(4/x)^(4-x), x = 0, 1, 2, 3, 4 = 0 , otherwise Find E(x) and Var.(x)

The p.m.f. of a r.v. X is P(x)={{:((c)/(x^(3))","x=1","2","3),(0", otherwise"):},"then" E (X) =

The p.m.f of a d.r.v. X is P(X = x) = {{:(((. ^(5)C_(x)))/(2^(5))", for","x = 0,1,2,3,4,5"),(" 0,"," otherwise"):} If a = P(X le 2) and b = P(X ge 3) then the relation between a and b is

If the p.m.f of a d.r.v. X is P(X=x) = {{:((x)/(n(n+1))", for","x = 0,1,2,3,...,n"),(" 0,"," otherwise"):} then E(X) = ……

The p.m.f. of a r.v. X is P(x)={{:(kx^(2)","x=1","2","3","4),(0", otherwise"):} , then E (X) =

Given X~ B (n,P) If n= 10 and p=0.4 , find E(X) and Var (X) .

The p.m.f. of a r.v. X is P(x)={{:((3-x)/(10)","x=-1","0","1","2),(0", otherwise"):} then E (X) =

The p.m.f. of a r.v. X is P(x)={{:((2x)/(n(n+1))","x=1","2","...","n),(0", otherwise"):} , then Var (X) =

Let f (x) =(1)/(x ^(2)) int _(4)^(x) (4t ^(2) -2 f '(t) dt, find 9f'(4)

If a r. v. X has p. d.f. f ( x ) = {:(c/x, 1 lt x lt 3"," c lt 0),(0, "otherwise"):} Find c, E(X) and Var (X) . Also find F(x) .